York City centre-back David McGurk says they are gunning for the Blue Square Bet Premier title this season.
The Minstermen are third in the table following the 0-0 draw at AFC Telford but are now six points behind league leaders Wrexham, who have a game in hand on Gary Mills's men.
"We're drawing a few too many at the minute, but we're in the pack," McGurk told BBC Radio York.
"We're going for the title. The play-offs are the least we're expecting."
The 29-year-old, a regular at the back since arriving at Bootham Crescent from Darlington in 2006, has only just forced his way back into the starting 11 after losing his place through suspension.
But his return has coincided with City conceding just one goal in five matches, a record that McGurk is proud of.
"You go into every game wanting to keep a clean sheet. That's three in a row," he added.
"You look to concede less than the games you play and at the moment we are on course for that so hopefully we can keep it going.
"I was disappointed to lose my place. It was my own fault. I got five yellows far too quickly and that's not like me.
"It was frustrating watching the lads but I couldn't complain. We hadn't lost while I was out of the team and now I'm back, I need to make sure I keep my shirt."
The Minstermen are now unbeaten in 12 league games but that run includes six draws and McGurk knows his side have to start turning some of those stalemates into victories if they are to challenge Wrexham and Fleetwood.
"We can't go out and expect to win every game," he said.
"We'll win a lot but there are times when you've just got to roll your sleeves up and say 'OK, we'll take a point. Let's get back to the next home game against Kidderminster and win the three points at home'."